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Title Rotational partition functions for linear molecules
Creator/Author McDowell, R.S.
Publication Date1988 Jan 01
OSTI IdentifierOSTI ID: 5513328
Other Number(s)CODEN: JCPSA
Resource TypeJournal Article
Resource RelationJ. Chem. Phys. ; Vol/Issue: 88:1
Research OrgUniversity of California, Los Alamos National Laboratory, Los Alamos, New Mexico 87545
Subject640302 -- Atomic, Molecular & Chemical Physics-- Atomic & Molecular Properties & Theory; ACETYLENE-- ROTATIONAL STATES;HYDROCYANIC ACID-- ROTATIONAL STATES;POLYATOMIC MOLECULES-- ROTATIONAL STATES; HIGH TEMPERATURE;LOW TEMPERATURE;MEDIUM TEMPERATURE;PARTITION FUNCTIONS;ULTRALOW TEMPERATURE;VERY HIGH TEMPERATURE;VERY LOW TEMPERATURE
Related SubjectALKYNES;CYANIDES;ENERGY LEVELS;EXCITED STATES;FUNCTIONS;HYDROCARBONS;HYDROGEN COMPOUNDS;INORGANIC ACIDS;MOLECULES;ORGANIC COMPOUNDS
Description/Abstract An accurate closed-form expression for the rotational partition function of linear polyatomic molecules in /sup 1/summation electronic states is derived, including the effect of nuclear spin (significant at very low temperatures) and of quartic and sextic centrifugal distortion terms (significant at moderate and high temperatures).^The proper first-order quantum correction to the classical rigid-rotator partition function is shown to yield Q/sub r/ approx.^=..beta../sup -1/ exp(..beta../3), where ..beta..equivalenthcB/kT and B is the rotational constant in cm/sup -1/; for ..beta..greater than or equal to0.2 additional power-series terms in ..beta.. are necessary.^Comparison between the results of this treatment and exact summations are made for HCN and C/sub 2/H/sub 2/ at temperatures from 2 to 5000 K, including separate evaluation of the contributions of nuclear spin and centrifugal distortion.
Country of PublicationUnited States
LanguageEnglish
FormatPages: 356-361
System Entry Date2001 May 13

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